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Simplifying 5m + 14 = 3(m + 6) Reorder the terms: 14 + 5m = 3(m + 6) Reorder the terms: 14 + 5m = 3(6 + m) 14 + 5m = (6 * 3 + m * 3) 14 + 5m = (18 + 3m) Solving 14 + 5m = 18 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 14 + 5m + -3m = 18 + 3m + -3m Combine like terms: 5m + -3m = 2m 14 + 2m = 18 + 3m + -3m Combine like terms: 3m + -3m = 0 14 + 2m = 18 + 0 14 + 2m = 18 Add '-14' to each side of the equation. 14 + -14 + 2m = 18 + -14 Combine like terms: 14 + -14 = 0 0 + 2m = 18 + -14 2m = 18 + -14 Combine like terms: 18 + -14 = 4 2m = 4 Divide each side by '2'. m = 2 Simplifying m = 2
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